脉冲微分方程和包含(M. Benchohra)Impulsive Differential Equations and Inclusions (M. Bench

这本书致力于脉冲微分方程和包含。 研究了脉冲微分方程和包含物，以及每个脉冲泛函微分方程或包含物和中立泛函微分方程的初值和边值问题。Contemporary Mathematics and Its Applications, Volume 2Impulsive Differential Equations and Inclusions.M. Benchohra, ) Henderson, and S. NtouyasHindawi Publishing Corporationhttp://www.hindawi.comContemporary Mathematics and Its ApplicationsSeries Editors: Ravi P. Agarwal and Donal OReganHindawi Publishing Corporation410 Park Avenue, 15th Floor,#287 pmb, New York, NY 10022, USANasr City Free Zone, Cairo 11816, EgyptFax:+1-866-HINDAWI (USA Toll-Free)2006 Hindawi Publishing CorporationAll rights reserved. No part of the material protected by this copyright notice may be reproduced orutilized in any form or by any means, electronic or mechanical, including photocopying, recordingor any information storage and retrieval system, without written permission from the publisher.ISBN977-5945-50-XDedicationWe dedicate this book to our family members who complete us. In particular, M. Benchohra's dedication is to his wife, Kheira, and his children, Mohamed, Maroua, andAbdelillah; Henderson dedicates to his wife, Darlene, and his descendants, Kathy,Dirk, Katie, David, and Jana Beth; and S. Ntouyas makes his dedication to his wife,Joanna, and his daughter, MyrtoContentsPreface1. Preliminaries1.1. Definitions and results for multivalued analysis1. 2. Fixed point theeorems41.3. Semigroups1. 4. Some additional lemmas and notions2. Impulsive ordinary differential equations inclusions112.1. Introduction2.2. Impulsive ordinary differential equations122.3.Impulsive ordinarydifferential inclusions242.4. Ordinary damped differential inclusions492.5. Notes and remarks623. Impulsive functional differential equations inclusions631. Introduction633. 2. Impulsive functional differential equations633. Impulsive neutral diffe3.4. Impulsive functional differential inclusions803.5. Impulsive neutral functional DIs953.6. Impulsive semilinear functional DIs1073.7. Notes and remarks1184. Impulsive differential inclusions with nonlocal conditions1194.1. Introduction1194.2. Nonlocal impulsive semilinear differential inclusions1194.3. Existence results for impulsive functional semilineardifferential inclusions with nonlocal conditions1364.4. Notes and remarks1455. Positive solutions for impulsive differential equations5.1. Introduction1475.2. Positive solutions for impulsive functionaldifferential equations5.3. Positive solutions for impulsive boundaryvalue problems1545.4. Double positive solutions for impulsive boundaryvalue problems1595.5. Notes and remarks16511Contents6. Boundary value problems for impulsive differential inclusions1676.1. Introduction6.2. First-order impulsive differential inclusions with periodicboundary conditions1676.3. Upper-and lower-solutions method for impulsive differentialinclusions with nonlinear boundary conditions1846.4. Second-order boundary value problems916.5. Notes and remarks1987. Nonresonance impulsive differential inclusions1997. 1. Introduction1997. 2. Nonresonance first-order impulsive functional differentialinclusions with periodic boundary conditions1997.3. Nonresonance second-order impulsive functional differentialinclusions with periodic boundary conditions2097. 4. Nonresonance higher-order boundary value problems forimpulsive functional differential inclusions2177. 5. Notes and remarks2278. Impulsive differential equations inclusions with variable times2298. 1. Introduction2298.2. First-order impulsive differential equations with variable times 2298.3. Higher-order impulsive differential equations withvariable times2358.4. Boundary value problems for differential inclusionswith variable times2418.5. Notes and remarks2529. Nondensely defined impulsive differential equations inclusions2539.1. Introduction2539. 2. Nondensely defined impulsive semilinear differentialequations with nonlocal conditions2539.3. Nondensely defined impulsive semilinear differentialinclusions with nonlocal conditions2649.4. Nondensely defined impulsive semilinear functionaldifferential equations2769.5. Nondensely defined impulsive semilinear functionaldifferential inclusions2859.6. Notes and remarks29010. Hyperbolic impulsive differential inclusions29110.1. Introductio29110.2. Preliminaries29210.3. Main results29310.4. Notes and remarks309Contents11. Impulsive dynamic equations on time scales31111.1. Introduction31111. 2. Preliminaries31111.3. First-order impulsive dynamic equations on time scales31311.4. Impulsive functional dynamic equations on time scalewith infinite delay31811.5. Second-order impulsive dynamic equations on time scales32511.6. Existence results for second-order boundary value problems ofimpulsive dynamic equations on time scales33311.7. Double positive solutions of impulsive dynamic boundaryvalue problems3391. 8. Notes and remarks34412. On periodic boundary value problems of first-order perturbedmpulsive differential inclusions34512.1. Introduction34512. 2. Existence results34612.3. Notes and remarks353Bibliography355Inde365